Answer
x-intercept: $(0, 0)$
y-intercept: $(0, 0)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$y-3x=0
\\0-3x=0
\\-3x=0
\\\frac{-3x}{-3}=\frac{0}{-3}
\\x=0$
Thus, the x-intercept is $(0, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$y-3x=0
\\y-3(0)=0
\\y=0$
Thus, the y-intercept is $(0, 0)$.
Since the x and y-intercepts are the same, one more point is needed to graph the line.
Let $x=1$ then solve for $y$:
$y-3x=0
\\y-3(1)=0
\\y-3=0
\\y=3$
The point is $(1, 3)$.
Plot the intercept $(0, 0)$ and the point $(1, 3)$ on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
